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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.6, Problem 62E

To determine

**To find:** The time taken by Stan to mow the lawn.

Expert Solution

The time taken by Stan to mow the loan is 2 *hrs*.

**Given:**

Hilda works twice as fast as Stan. If they work together than they take 40 min to mow the loan.

**Calculation:**

Let the time taken by Stan to mow the lawn be *x*.

Tabulate the given information algebraically.

In words | In Algebra |

Time taken by Hilda | x |

Time taken by Stan | 2x |

Work done by Hilda | |

Work done by Stan | |

Work done by Hilda and Stan together in 1 min |

Model the equation for the above information as follows.

On further simplification,

So, the time taken by Hilda is 60 min. That is, one hour.

Since Hilda works twice as fast as Stan, the time taken by Stan

That is, 2 hours.

Thus, the time taken by Stan to mow the loan is 2 *hrs*.